Let \( a, b \) and \( c \) be in geometric progression. If the roots of the equation \( a x^{2}+... VIDEO
Let \( a, b \) and \( c \) be in geometric progression. If the roots of the equation \( a x^{2}+2 b x+c=0 \) are \( \alpha \) and \( \beta \) while those of \( c x^{2}+2 b x+a=0 \) are \( \gamma \) and \( \delta \) then
(A) \( \alpha \neq \beta \neq \gamma \neq \delta \)
(B) \( \alpha \neq \beta \) and \( \gamma \neq \delta \)
(C) \( a \alpha=a \beta=c \gamma=c \delta \)
(D) \( \alpha=\beta ; \gamma \neq \delta \)
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